Get rid of representative of the French first (4)
I believe the answer is:
dump
'get rid of' is the definition.
(dumping is a kind of getting rid of)
'representative of the french first' is the wordplay.
'representative' becomes 'mp'.
'of the french' becomes 'du'.
'first' means one lot of letters go next to another.
'mp' after 'du' is 'DUMP'.
(Other definitions for dump that I've seen before include "deposit" , "Site for rubbish" , "Ditch - rubbish tip" , "Heap of rubbish" , "Repository for rubbish etc" .)